Pith Number

pith:VA4AF23V

pith:2024:VA4AF23VKF4S6XXREKIOA7HFCQ

not attested not anchored not stored refs pending

Bitangent surfaces and involutions of quartic surfaces

Igor Dolgachev, Shigeyuki Kond\=o

arxiv:2406.16246 v5 · 2024-06-24 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VA4AF23VKF4S6XXREKIOA7HFCQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-20T14:03:17.667526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a83802eb7551792f5ef12290e07ce5140effb0ec0d05c28dc1ae64f7be259e28

Aliases

arxiv: 2406.16246 · arxiv_version: 2406.16246v5 · doi: 10.48550/arxiv.2406.16246 · pith_short_12: VA4AF23VKF4S · pith_short_16: VA4AF23VKF4S6XXR · pith_short_8: VA4AF23V

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/VA4AF23VKF4S6XXREKIOA7HFCQ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a83802eb7551792f5ef12290e07ce5140effb0ec0d05c28dc1ae64f7be259e28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbc17d0449d82d01e8929da20de9d7d83339f6f59b377788be5c7a87c941e8ff",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-06-24T00:45:07Z",
    "title_canon_sha256": "dde49fae8ffe5953adacece8877b319d3f34ccc76be38d1080bbb665aaaf44f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.16246",
    "kind": "arxiv",
    "version": 5
  }
}